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(50 p.) ABC Ltd buys 15 used trucks at each of two truck auctions each week held at different locations. It then transports the trucks

(50 p.) ABC Ltd buys 15 used trucks at each of two truck auctions each week held at different locations. It then transports the trucks to repair shops it contracts with. When they are restored to ABCs specifications, ABC sells 10 each to three different used truck lots. There are various costs associated with the average purchase and transportation prices from each auction to each repair shop. Also there are transportation costs from the repair shops to the used truck lots. ABC is concerned with minimizing its total cost given the costs in the table below.

a. Formulate this problem as a linear programming model.

Repair Shops

Used Truck Lots

S1

S2

L1

L2

L3

Auction 1

550

500

S1

250

300

500

Auction 2

600

450

S2

350

650

450

Use Excels Solver to find the optimal solution to this problem.

(5 p.) Report the total cost

(20 p.) Interpret the optimal solution: how many trucks (if any) should be sent from each Auction to each Repair Shop and from Each Repair Shop to each Used Truck Lot?

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